229093200 has 180 divisors, whose sum is σ = 908690848. Its totient is φ = 52358400.

The previous prime is 229093187. The next prime is 229093213. The reversal of 229093200 is 2390922.

It is an interprime number because it is at equal distance from previous prime (229093187) and next prime (229093213).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20655 + ... + 29745.

Almost surely, 2^229093200 is an apocalyptic number.

229093200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229093200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454345424).

229093200 is an abundant number, since it is smaller than the sum of its proper divisors (679597648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229093200 is a wasteful number, since it uses less digits than its factorization.

229093200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 229093200 is about 15135.8250518431. The cubic root of 229093200 is about 611.8863046515.

The spelling of 229093200 in words is "two hundred twenty-nine million, ninety-three thousand, two hundred".